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Crystal Lab › Prototype structures › Trigonal

Nb₂Mn₄O₉

Trigonal · space group P-3c1 (No. 165) · Pearson hP30

Symmetry elements and Wyckoff positions (interactive)

Nb₂Mn₄O₉ in P-3c1

Setting
Loading the group…
x = 0.10, y = 0.17, z = 0.08

Unit cell

Lattice constants
a = 5.335 Å, b = 5.335 Å, c = 14.320 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
353.0 ų
Atoms in the conventional cell
30 (Nb 4, Mn 8, O 18)
Formula units Z
2
Pearson symbol
hP30 — hexagonal / trigonal, primitive lattice, 30 atoms per conventional cell
Symmetry operations
12 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Nb3Nb4c40.00000.00000.3575
Mn1Mn4d40.33330.66670.0181
Mn2Mn4d40.33330.66670.2970
O4O6f60.30000.00000.2500
O5O12g120.33400.29500.0880

The multiplicity and the Wyckoff letter say how many copies of the site the group makes in one cell and on which kind of symmetry element the site sits; the 30 atoms drawn above are these sites multiplied by all 12 operations. Press Wyckoff under Colour to see the sites, and tick a symmetry element on the left to see which atoms lie on it.

How to read the label

A4B2C9_hP30_165_2d_c_fg-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP30, then the space-group number 165, then the Wyckoff letters occupied by each element in turn (Nb: 4c; Mn: 4d; Mn: 4d; O: 6f; O: 12g). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

Nb₂(Co_{x}Mn_{1-x})O₉, Nb₂Co₄O₉, Nb₂Fe₄O₉, Nb₂Mg₄O₉, Nb₂Mn₄O₉, Nb₂Zn₄O₉, Ta₂(Mg_{x}Mn_{1-x})O₉, Ta₂(Mg_{x}Ni_{1-x})O₉, Ta₂(Mg_{x}Zn_{1-x})O₉, Ta₂Co₄O₉, Ta₂Mg₄O₉, Ta₂Mn₄O₉, Ta₂Zn₄O₉, W₂(Li₂Mg₂)O₉, W₂(Li₂Zn₂)O₉ <!--beginning with an

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A4B2C9_hP30_165_2d_c_fg-001 (M. J. Mehl et al., Comput. Mater. Sci. 136, S1 (2017); D. Hicks et al., ibid. 161, S1 (2019) and 199, 110450 (2021); S. Eckert et al., ibid. 240, 112988 (2024)). Symmetry elements, Wyckoff assignment and the diagram are computed on this page from the group operations.

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